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In the following plots match I,II, III,I...

In the following plots match I,II, III,Iv with (a) isothermal process and Adiabatic process for (b) monatomic, (c ) diatomic and (d) triatomic gases respectively.

Text Solution

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For isothermal process pV = const. `( :.n = 1)` (Note all the above graphs are basically pV^n = const. piotted)
For Adiabati process pV. = const. Now,
For monotomic gas `gamma = 5/3 = 1.66 ( :.n = 1.66)`
For diatomic gas `gamma = 7/5 = 1.4 ( :.n = 1.4)`
and for triatomic gas `gamma = 8 /6 = 1.33 ( :. n = 1.33)`
In expansion p-V graph we know that as the value of .n. increases the plot keeps coming down.
So, we can represent the graphs as follows :
Hence the final answer is that
Plot I. is isothermal process
Plot II is Triatomic adiabatic
Plot III is diatomic adiabatic &
Plot IV is monoatomic adiabatic.
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